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Finding the Fourth Proportional to 13,486.18, 18,612.75 and 8,180.14

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Solution

The fourth proportional to 13,486.18, 18,612.75 and 8,180.14 is: 11,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.18 : 18,612.75 = 8,180.14 : x
  2. Step 2: Convert to fraction form
    13,486.18/18,612.75 = 8,180.14/x
  3. Step 3: Cross multiply
    13,486.18x = 18,612.75 × 8,180.14
  4. Step 4: Simplify right side
    13,486.18x = 152,254,900.79
  5. Step 5: Solve for x
    x = 152,254,900.79/13,486.18
  6. Step 6: Final answer
    x = 11,289.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.